document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=532157>Question 532157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a 10-foot ladder is placed against a house.  If the base of the ladder is 3.5 feet from the base of the house, how high does the ladder reach on the house? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #350693 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=350693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We can solve this using the Pythagorean theorem.<BR>\n" );
document.write( "The ladder is the hypotenuse = 10 ft.<BR>\n" );
document.write( "The base is 3.5 ft.<BR>\n" );
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document.write( "c^2 = a^2 + b^2<BR>\n" );
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document.write( "c^2 - b^2 = a^2<BR>\n" );
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document.write( "10^2 - 3.5^2 = a^2<BR>\n" );
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document.write( "100 - 12.25 = a^2<BR>\n" );
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document.write( "a = sqrt(87.75)<BR>\n" );
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document.write( "a = 9.367496997597597 ft<BR>\n" );
document.write( "or<BR>\n" );
document.write( "a = -9.367496997597597 ft<BR>\n" );
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document.write( "Since you cannot have a negative height up the wall, you select the positive answer.<BR>\n" );
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document.write( "Answer:  Height up the wall is about 9.37 ft.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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